49. Find an equation of the tangent line to the graph of y = 8/(x² + 4) at (a) (0, 2); (b) (–2, 1).

Q: 4. Find the equation of the tangent line to the graph of f(x)= 2x² – In Vx at x = 1.

A:

Q: 3. Find an equation of the tangent line to the graph of y = log,x at the point ( 32,5).

A: We need to find the equation of the tangent line to the graph of y=log2x at the point (32,5) . Using…

Q: 4. Find the equation of the tangent line to the curve y=x-2x+3 at the point (2,3).

A:

Q: 1. Find the equation of the tangent line to x2- 3xy +y2 = -1 at (2,1).

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 5) Determine the equation of the tangent to the curve y = √3x² - 2x at x=1.

A:

Q: 5. Find the equation of the tangent line that passes through point (1,2) to the graph 8y3 + x²y – x…

A: Proceed as shown below...

Q: 5. Find the equation of the tangent line to the curve of the function Y= 2x-x +2 at the point (1,3).

A: Given,  y = 2x3-x2+2   and the point 1, 3 We have to find the equation of the tangent line at the…

Q: 8. Determine the equation of the tangent line to the graph of the lemniscate: 2(x2 + y2)2 = 25(x² –…

A:

Q: 7. Find the points on the curve y=-x where the tangent line is parallel to the line y= 3x

A: The points on the curve y=x33-x where the tangent line is parallel to the line y=3x

Q: 3) Find an equation for the tangent line to the graph at the specified value of x. y=x²V5-x² ,x=1

A:

Q: 2 Find the line tangent to the curve r3 +y3 at the point 4 (-3/3, –1).

A:

Q: 4. Find the slope of the tangent to y = sin² (2x) at x = 12

A:

Q: 3. Find the equation of the tangent line to the curve x2 – 2x In y + 3y2 = 3e2 - 1 in the point (1,…

A:

Q: 4. Find the equation of the tangent line to the function y= In(x* -2) when x=3.

A:

Q: 3) Find the equation of the tangent line to the curve the point (1, 1). y²(2 – x) = x³ at

A: Given curve is : y2(2-x) = x3

Q: 4. Find an equation of the line tangent to g(x) = 3x² - x +1 at x= 1.

A: Given function

Q: 18- What is equation of the tangent line of ƒ(x)=x³- 2x² - 1 at the point x = 2 ? y=-2x+9 1903…

A:

Q: -1 Where on the curve y = (256+ x²)¯* does the tangent line have the greatest slope? NOTE: Enter the…

A:

Q: 7) Find an equation of the line tangent to the curve y = x+5 at x = 3. х-1

A:

Q: 5) Find an equation to the line tangent to y = (x +3)³ at x = -3.

A: as per bartleby guidelines  i can do only first question. please ask other question seperately.

Q: -1 Where on the curve y = (196 + x²)¯ does the tangent line have the greatest slope? NOTE: Enter the…

A:

Q: Find the points on the graph of y = ex + e-2x where the tangent line is horizontal.

A:

Q: 3. Find an equation of the tangent line to the curve at x=4 y=(sqrt(x)) / (x+6)

A: Given equation of the curve y = xx+6  ...............(1) Let the equation of the tangent at (x1, y1)…

Q: 8. Find the slope of the tangent of the curve x² + y² = 10 at the point (1, -3).

A:

Q: 1. Write the equation for both the tangent line and normal line to the curve y = 3x² – x +1 at the…

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: 3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

A: Solving

Q: 8. Find the point on the graph y = x³ where the tangent line is perpendicular to the line 3x +9y = 4

A: We have to find the point where tangent line is perpendicular to the line 3x+9y=4.

Q: 4. Find the tangent line to the curve y = In(x + x + 1) with slope 1. (2점)

A:

Q: 3 at the point ( 6, (0.) The slope of the tangent line to the curve y = is:

A:

Q: 2 Write the equation of the tangent line to the graph of y =x at the point x = - 0.7.

A: Given equation is To find the equation of tangent line y=mx+b, we need to find out the slope m…

Q: tangent line

A:

Q: 9. Find the equation of the curve whose y" e*. = - cos x + 6x + 4 with horizontal tangent at the…

A:

Q: 2. Find the equation of the tangent line to the curve y = x³+ 2x² – x at the point (-2, 7).

A:

Q: 2. Find the equation of the tangent line to y at x = -5.

A:

Q: 4. The slope of the tangent line to the curve y 4. is: 9 - at the point 9, The equation of this…

A: To find the slope of the tangent line to the curve, y=4x, at the point 9, 49.The  equation of this…

Q: 2/ Find the equation of the tangent line at (0,0) to fex) = xex хе 2 -X

A: Given f(x)=xe-x2y=xe-x2Differentiate…

Q: 6) Determine the equation of the tangent line to y = x/x when %3D x = 4.

A: Equation of tangent line

Q: Find an equation of the tangent line to the curve at the given point. y = 4.9x – x², (3,5.7) - y =…

A:

Q: (14 Find the eguation of the tangent line for y = when x=1. x² +3

A: Given,            y=12x3+3 , x=1To find : The equation of the tangent line.We know that,…

Q: -1 Where on the curve Y (1+ x2)¯ does the tangent line have the greatest slope? NOTE: Enter the…

A: Given:- y = (1+x2)-1 To find:- Point where tangent line on given have greatest slope

Q: 4. If f (2) = 3 and f'(2) = 5, find an equation of the tangent line at the point where x=2.

A: We have to find the equation of tangent.

Q: 5) Find an equation to the line tangent to y= (x + 3)³ at x =-3.

A:

Q: 6. Find the equation of the tangent line to the curve y = e when it is parallel to 2x- y=7.

A:

Q: 9. Find the point on the graph of y = x² where the tangent line is parallel to the line 3x – 4y = 4.

A:

Q: 4. Find the equation of the tangent line to the function y = In (x² – 2) when x=3.

A: Question is solved.

Q: 6. Find the equation of the tangent line to the curve 2x3 + xy + y° = 4 at the point (1, 1).

A: Firstly we can find slope .i.e, dydx at (1,1). Then slope intercept form  y-y1=m(x-x1)

Q: 4) Determine the equation of the tangent line to y=3x -5x² +10 at x= 1

A: The given equation is; y = 3x4 - 5x2 + 10  at x = 1